Lukatskii Aleksandr Mikhailovich

Publications in Math-Net.Ru

1. Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator
   
   Trudy Mat. Inst. Steklova, 267 (2009),  204–213
2. A constructive algorithm for folding large-scale systems of linear inequalities
   
   Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008),  1167–1180
3. Competitive Relations in Imperfect Commodity Markets
   
   Avtomat. i Telemekh., 2003, no. 7,  94–108
4. A Small Model of Market Behavior
   
   Avtomat. i Telemekh., 2002, no. 4,  147–160
5. Methods for solving multilinear programming problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  680–691
6. Examples of continuous actions of semisimple Lie groups that are not equivalent to smooth ones
   
   Mat. Zametki, 65:2 (1999),  317–320
7. Economic growth under scientific progress and exaustion of resources
   
   Matem. Mod., 6:7 (1994),  71–82
8. The negativeness of the curvatures of groups of diffeomorphisms for locally Euclidean manifolds
   
   Uspekhi Mat. Nauk, 45:6(276) (1990),  137–138
9. Nonlinear dynamics of the magnetization of ferromagnets and motion of a generalized solid with flow group
   
   TMF, 85:1 (1990),  115–123
10. The structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a two-dimensional compact manifold
    
    Sibirsk. Mat. Zh., 29:6 (1988),  95–99
11. The curvature of the group of diffeomorphisms preserving the measure of the $n$-dimensional torus
    
    Sibirsk. Mat. Zh., 25:6 (1984),  76–88
12. On the curvature of the group of measure-preserving diffeomorphisms of an $n$-dimensional torus
    
    Uspekhi Mat. Nauk, 36:2(218) (1981),  187–188
13. Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere
    
    Funktsional. Anal. i Prilozhen., 13:3 (1979),  23–27
14. A system of generators in the group of diffeomorphisms of the $n$-dimensional torus
    
    Mat. Zametki, 26:1 (1979),  27–34
15. Finite generation of groups of diffeomorphisms
    
    Uspekhi Mat. Nauk, 33:1(199) (1978),  219–220
16. The structure of Lie algebras of spherical vector fields and the diffeomorphism groups of $S^n$ and $RP^n$
    
    Sibirsk. Mat. Zh., 18:1 (1977),  161–173
17. On systems of generators in groups of diffeomorphisms of compact manifolds
    
    Dokl. Akad. Nauk SSSR, 220:2 (1975),  285–288
18. On homogeneous vector bundles and groups of diffeomorphism of compact homogeneous spaces
    
    Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975),  1274–1283
19. Algebras of vector fields and groups of diffeomorphisms of compact manifolds
    
    Funktsional. Anal. i Prilozhen., 8:2 (1974),  87–88
20. On the system of rational functions of M. M. Dzhrbashyan for an arbitrary continuum
    
    Sibirsk. Mat. Zh., 15:1 (1974),  205–211
21. Series expansion in a system of rational functions
    
    Mat. Sb. (N.S.), 90(132):4 (1973),  544–557
22. Theorem concerning analytic continuation
    
    Mat. Zametki, 10:1 (1971),  57–62


23. Arkadii L'vovich Onishchik (obituary)
    
    Uspekhi Mat. Nauk, 75:4(454) (2020),  195–206